Inside Collection (Course): Mathematics Grade 5
1. Look at the unit’s digit.
If it is 5 or more, the tens digit becomes one more.
If it is 4 or less, the tens digit remains the same.
2. Look at the tens digit.
If it is 5 or more, the hundreds digit becomes one more.
If it is 4 or less, the hundreds digit remains unchanged.
3. Look at the hundreds digit.
If it is 5 or more, the thousands digit becomes one more.
If it is 4 or less, the thousands digit remains the same.
2.
2.1 20 + 10 + 20 = 50
2.2 30 + 10 + 50 = 90
2.3 10 + 20 + 20 = 50
2.4 100 + 200 + 300 = 600
2.5 200 + 100 + 100 = 400
3. “Estimated answer” and “Difference” will be different as a result of the method
applied. Pocket calculator gives correct answer.
4.
a) 279
b) 1 660
c) 6 581
d) 2 843
5. Answers will vary – many combinations possible
6. 35 + 15; 47 + 3; 23 + 27
50 + 150; 25 + 175; 10 + 190; 180 + 20; 170 + 30
250 + 750; 400 + 600; 900 + 100; 200 + 800; 990 + 10
6. 250 + 750; 125 + 825; 950 + 50; 450 + 550; 225 + 775; 415 + 585
7. 5 000 + 400 + 80 + + 9 + 300 + 60 + 2 + 1 000 + 500 + 70
= (5 000 + 1 000) + (400 + 300 + 500) + (80 + 60 + 70 +) + (9 + 2)
= 6 000 + 1 200 + 210 + 11
= 7 421
1. It is important that we consider once again what rounding off is, and how it is done. Explain to a friend how we round off to the nearest 10, 100 and 1 000.
2. Now work in groups of three and see who is able to calculate the answers without a pocket calculator by rounding off to the closest 10 or 100. (You may not write anything down!)
2.1 16 + 11 + 19
2.2 34 + 9 + 52
2.3 2 + 15 + 23
2.4 141 + 208 + 339
2.5 182 + 149 + 106
3. Look carefully at the following example:
32 + 87 + 96 + 42 becomes
30 + 90 + 100 + 40 (rounded off to the closest 10)
Therefore the answer is approximately 260.
138 + 759 + 304 becomes
100 + 800 + 300
Therefore the answer will be roughly 1 200.
DID YOU KNOW?
e.g. 62 + 75 + 94 + 45
Lower limit: 60 + 70 + 90 + 40 = 260
Upper limit: 70 + 80 + 100 + 50 = 300
The correct answer will therefore be between
260 and 300.
4. Now complete the table by rounding off the numbers according to the method that you prefer. Estimate the answer first. Then calculate the correct answer with a pocket calculator. Finally write down the difference between the two answers.
Calculation  Estimated answer  Calculator  Difference  
E.g.  308 + 475  300 + 480 = 780  783  3 
a)  67 + 98 + 114  
b)  896 + 723 + 41  
c)  1 892 + 4 689  
d)  2 458 + 294 + 91 
TIME FOR SELFASSESSMENT!
Colour the correct box:
I am able to add by rounding off to the closest 10, 100 or 1 000  mastered  ** have not mastered yet 
** Ask your educator to give you some more examples that you can do at home!!
5. There are also other techniques or computations (other than rounding off) that you can use to calculate answers quickly. Look carefully at the examples and try to add more number combinations.
6. Look at the numbers in the diagram below. By finding as many as possible addition strings that give a sum of 1 000, you can calculate the sum of all the numbers in a jiffy! How many do you see? Colour them in the same colour.
250  
585  
125  
750  825  50 

550  775  415  
225  
316  
775  
415 
DO YOU STILL REMEMBER?
We can use grouping to add up. Look carefully at the example!
= 300 + 70 + 200 + 40 + 5 + 600 + 80 + 4
= (300 + 200 + 600) + (70 + 40 + 80) + (5 + 4)
= 1 100 + 190 + 9
7. Use this method to calculate:
5 489 + 362 + 1 570
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
Learning Outcome 1: The learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
Assessment Standard 1.8: We know this when the learner estimates and calculates by selecting and using operations appropriate to solving problems.